11321400412311 has 16 divisors (see below), whose sum is σ = 16521131561088. Its totient is φ = 6839104773600.

The previous prime is 11321400412297. The next prime is 11321400412327.

11321400412311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11321400412311 - 2⁶ = 11321400412247 is a prime.

It is a super-3 number, since 3×11321400412311³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321400452311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558740260 + ... + 558760521.

It is an arithmetic number, because the mean of its divisors is an integer number (1032570722568).

Almost surely, 2^{11321400412311} is an apocalyptic number.

11321400412311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11321400412311 is a deficient number, since it is larger than the sum of its proper divisors (5199731148777).

11321400412311 is a wasteful number, since it uses less digits than its factorization.

11321400412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117501102.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 11321400 and 412311, that added together give a palindrome (11733711).

The spelling of 11321400412311 in words is "eleven trillion, three hundred twenty-one billion, four hundred million, four hundred twelve thousand, three hundred eleven".